articles
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№ 1(43)
21 february 2013 year
Rubric: Models and althorithms Authors: Cyganova .. .., Strizhov V. V. |
The paper proposes the use of probabilistic mathematical model. Special attention is paid to the hierarchical mathematical model and, in particular, discuss the properties of algorithms PLSA and LDA. Specific feature of the hierarchical model is to move from the concept of «bag of words» to the «bag of themes» in the implementation of flat clustering algorithms. The algorithm is illustrated with the theses of the Euro-2012 conference and with some synthetic data.
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№ 1(43)
21 february 2013 year
Rubric: Mathematical models in economy Authors: Kuznecov Y. A., Michasova O. V. |
Analytical and numerical investigations of the Lucas’ model of economic growth are presented. The proof of the balanced growth path existence and the study of its uniqueness as well as principles of modeling of ordinary differential equations systems are discussed. The numerical investigation of the Lucas’ model is realized for the set of parameters which are characteristic for developed countries economies. The possibility of the indeterminacy existence is also considered.
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We suggest the algorithm and the corresponding programming code for computing topologies of a finite set. Algorithm provides verification of T0-axiom of the separation and connectivity, computing the connected components, bases and topological spaces homeomorphisms to itself. Software implementing the proposed model developed by the authors is presented.
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A multi-factor model based on differential equations for predicting the development of socio-economic system is proposed. Several examples show the advantage of this model compared with the linear multi-factor models and trends. Application software was developed as well as technique of using it.
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The paper describes the conceptual framework and institutional mechanisms for the development and use of information systems that provide analysis of indicators of tourism activity at the mid-level management. It is concluded that the systems are necessary while transition to the target program budget tourist industry funding.
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№ 2(44)
22 april 2013 year
Rubric: Performance management Authors: Palagin Y. I., Mochalov A. I., Timonin A. V. |
Mathematical models, algorithms and software for route and traffic in the freight terminal networks multimodal transport operators with self-developed three-modal route network are presented as well as a description of the developed algorithms and programs. Some practical examples are considered.
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